Answer:
-24
Step-by-step explanation:
m(4)=2*4^2-10*4-14=-22
m(-1)=2*(-1)^2-10(-1)-14=-2
m(4)+m(-1)=-24
Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |
Answer:
the answers would be 1 61/100 and 161/100
Name the property illustrated. 7 + 0 = 7
Answer:
I think it's the zero property
Step-by-step explanation:
A geometric series has a common ratio of (-2) and the first term is 3.
Show that the sum of the first eight positive terms of the series is 65 535.
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Given a₁ = 3 and r = - 2 , then
3 × - 2 = - 6
- 6 × -2 = 12
12 × - 2 = - 24
- 24 × - 2 = 48
48 × - 2 = - 96
- 96 × - 2 = 192
The positive terms are in a geometric progression
3, 12, 48, 192, ....
with a₁ = 3 and r = 12 ÷ 3 = 48 ÷ 12 = 4 , then
S₈ = [tex]\frac{3(4^{8}-1) }{4-1}[/tex] = [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535
6.
Ahmad claims that the difference of squares method of factoring can be used even when the values aren't perfect squares. An example of his thinking is shown.
Answer:
Below.
Step-by-step explanation:
a. (x - √5)(x + √5)
= x(x + √5) - √5(x + √5)
= x^2 + √5x - √5x - 5
= x^2 - 5.
b. 10 - 3x^2
= (√10 - √3x) (√10 + √3x)
(a) Ahmad's factorization is correct.
(b) (√10 - √3x)(√10 + √3x)
Given equation as
x² - 5 = (x - √5)(x + √5)
What is a Perfect Square?
A Perfect Square is defined as when multiplying an integer by itself, we get a perfect square, which is a positive integer. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves.
Solution of (a)
Taking RHS from the given equation
⇒ (x - √5)(x + √5)
⇒ x(x + √5) - √5(x + √5)
⇒ x² + √5x - √5x - 5
⇒ x² - 5.
So, RHS = LHS
Hence, Ahmad's factorization is correct.
Solution of (b)
⇒ 10 - 3x²
According to Ahmad's strategy
⇒ √10(√10 + √3x) - √3x(√10 + √3x)
⇒ (√10 - √3x)(√10 + √3x)
Learn more about perfect square here:
https://brainly.com/question/385286
#SPJ2
Using the equation y = 30x + 45, if you have a budget of 300 dollars for this job, what are the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
Answer:
8 hours
Step-by-step explanation:
y = 30x + 45
Assuming x is the hours and y is the cost
300 = 30x +45
Subtract 45 from each side
300-45 = 30x+45-45
225 = 30x
Divide by 30
225/30 = 30x/30
17/2 = x
8.5 =x
The largest number of hours without going over means round down
8 hours
5 a. how to convet 2 hour to second
Answer:
Step-by-step explanation:
2 hour
To seconds = 7200
Hope this answer helps you :)
Have a great day
Mark brainliest
use the ratio of a 45-45-90 triangle to solve for the variables
Answer:
1:1:√ 2
Step-by-step explanation:
Answer:
u = 14
v = 14
Step-by-step explanation:
since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u
so, we can use Pythagoras
(14×sqrt(2))² = u² + u² = 2u²
196×2 = 2u²
196 = u²
u = 14 = v
anyone wanna help me with this.
Answer:
b
Step-by-step explanation:
2/(x+2)≠1/(x+1)
For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?
Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
Which absolute value equation represents the graph A) f(x)=-|3x|-5 B) f(x)=3|x-5| C)f(x)=5|x|-3 D)f(x)=|5x-3|
Answer:
The choose B. f(x)=3|x-5|
I hope I helped you^_^
Which of the following characteristics best describes the given function of
f(x) = 2* + 5 ?
A) always increasing, maximum, quadratic function, vertical symmetry
B) always increasing, maximum, exponential function, vertical symmetry
C) always increasing, no maximum or minimum, exponential function, no vertical symmetry
D) always decreasing, maximum, exponential function, vertical symmetry
Answer:
B
Step-by-step explanation:
it is an exponential function
If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number
Answer:
should I fild the length of third side in this question ?
Answer:
If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.
A set of points is graphed on the scatter plot.
Is y a function of x on the scatter plot? Why or why not?
A
Yes, because the point (6,0) is located on the x-axis.
B
Yes, because the point (0,7) is located on the y-axis.
C
No, because x=−5 corresponds to both y=1 and y=−3.
D
No, because y=−3 corresponds to x=−5, x=−3, and x=1.
Answer:
C
No, because x=−5 corresponds to both y=1 and y=−3.
Step-by-step explanation:
This is not a function. The graph has values of x that correspond to multiple values of t
A boat travels 160 miles per hour. What is the speed in miles per minute?
Now
[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]
[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]
[tex]\\ \sf\longmapsto 2.6miles/min[/tex]
Help meh pweeeeaaaasssseeee!
Answer:
The name of the given figure in two different ways are - J⇔U and U⇔J
The hanger diagram models the equation 2(n + 7) = 24. What could be the
first step in using the diagram to find the value of n? What could be the first
step reasoning about the equation to find the value of n? How are these
steps the same or different?
Please help
Step-by-step explanation:
first of all you times every number with two 2(n-7) then collect like terms then divide
What is the value of x?
26°
xº
O
x
= [?]
Answer: x = 154°
Step-by-step explanation:
In this tangents are formed
So the two unknown opposite angles at the curves will be 90° each.
So using angle sum property of a quadilateral in which all angles adds upto 360°
We get x as
90+90+26+x = 360
206+x = 360
x = 360 - 206
x = 154
please click thanks and mark brainliest if you like :)
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?
Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:
B. 57.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.
From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:
B. 57.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
#SPJ1
"If the radius of the closed cone is doubled, show algebraically how this affects the surface area in comparison to the original cone."
How do I do this question?
Answer:
It would help to have the cone area formula:
Area = PI * radius * slant height
Let's say the height is 12cm radius is 5 cm
which makes the (slant height)^2 = 12^2 + 5^2 = 169
slant height = 13
and surface area = PI * 5 * 12 = 188.4955592154
If radius = 10 then (slant height)^2 = 12^2 + 10^2 = 244
slant height = 15.6204993518
surface area = PI * 10 * 15.62 = 376.99
376.99 / 188.4955 = 2
So, if radius is doubled, surface area is doubled.
Source: http://www.1728.org/volcone.htm
Step-by-step explanation:
The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student
Answer:
4.107
Step-by-step explanation:
115/28=4.107
does anybody know the answer?
what is the linear equation for y = 2x+1.
Answer:
y= mx+ c is the linear equation for y= 2 x+1
I have a frequency of 20.0 Hz, if this frequency travels through the air with a speed of 331 m/s, what is it's wavelength
Answer:
16 m
Step-by-step explanation:
c=f×m
331=20m ( divide by 20 both side)
therefore m=16.55m
7.
Find the number of real number solutions for the equation. x2 – 18 = 0
A. cannot be determined
B. 0
C. 1
D. 2
m/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x
Answer:
x = 1
Step-by-step explanation:
The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.
Note:
m∠IGF = 135x
m∠HGI = 26x
m∠HGF = 161°
Set the equation:
m∠IGF + m∠HGI = m∠HGF
Plug in the corresponding terms to the corresponding variables:
135x + 26x = 161
Combine like terms:
(135x + 26x) = 161
161x = 161
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:
(161x)/161 = (161)/161
x = 1
1 is your answer.
~
x = 161/161 = 1
Find the slope of the line that contains (-1, 9) and (9, 9).
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
Rút gọn
Giúp em với ạ. em lm mãi ko ra
Answer:
Step-by-step 12explanation:
12
Answer:
Nhân đa thức đối xứng
(2[tex]\sqrt{3}[/tex] -4)/([tex]\sqrt{3}[/tex] -1) + (2[tex]\sqrt{2}[/tex] -1)/([tex]\sqrt{2}[/tex] -1) - (1+[tex]\sqrt{6}[/tex] )/([tex]\sqrt{2}[/tex] +3)
=(2[tex]\sqrt{3}[/tex] -4)([tex]\sqrt{3}[/tex] +1)/([tex]\sqrt{3}[/tex] -1)([tex]\sqrt{3}[/tex] +1) + (2[tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1)/([tex]\sqrt{2}[/tex] -1)([tex]\sqrt{2}[/tex] +1) - (1+[tex]\sqrt{6}[/tex] )([tex]\sqrt{2}[/tex] -3)/([tex]\sqrt{2}[/tex] +3)([tex]\sqrt{2}[/tex] -3)
=3-[tex]\sqrt{3}[/tex] -2+4+[tex]\sqrt{2}[/tex] -1 +([tex]\sqrt{2}[/tex] -3+2[tex]\sqrt{3}[/tex] -3[tex]\sqrt{6}[/tex] )/7
= 2.900712176
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider the function fx) = -2x + 6x3 + 2x.
The function is
because
Answer:
This is an odd function because f (–x) = f (x)
Step-by-step explanation:
This is an odd function because f (–x) = f (x)
f(x) = -2x^5 + 6x^3 + 2x.
All the powers are odd powers and the sum of odd functions is odd
All of the terms are odd functions so the total function is odd
Answer:
CORRECT
Step-by-step explanation:
help ASAP!!!
bensnsnana
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.
Answer:
y is 5.
Step-by-step explanation:
[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]
Introduce log base 10:
[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]
